Question

A bricklayer supports a 5 meter ladder. Against a vertical wall. The foot of ther ladder is 3 meters from the wall. Calculate the heigth at which the top of ladder is

Answer 1

Answer:

4 meters

Step-by-step explanation:

Let the height at which the top of the ladder is be represented by h. The sketch of the question forms a right angled triangle. So that applying the Pythagoras rule,

$/hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$5^{2}$ = $h^{2}$ + $3^{2}$

25 = $h^{2}$ + 9

$h^{2}$ = 25 - 9

   = 16

⇒ h = $\sqrt{16}$

      = 4

Therefore, the height at which the top of ladder is placed is 4 meters.